The options are:
(A)
(B)
(C)t= a(f -v)
(D) t= v(f-a)
Answer:
(A)
Step-by-step explanation:
Given the equation f=V+at which represents the final velocity of an object(f) with an initial velocity, V and an acceleration rate, a, over time, t.
We are required to solve for an equivalent equation with t as the subject.
In f=V+at
To make t the subject
Step 1: Subtract v from both sides
f-v=v-v+at
at =f-v
Step 2: Divide both sides by a
The correct option is A.
Add them all up and divide by 4
101.4/4 = 25.35 or 25.4 seconds
Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
Given the points H(6,7) and I(-7,-6).
If point G lies of the way along line segment HI.
Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.
So, by using the cross section formula we can determine the coordinates of point G.
For the given points say and divided is in the ratio , the coordinates are
Coordinates G =
= (-0.5 , 0.5)
Hence, the coordinates of G are (-0.5 , 0.5).
So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.
Therefore , the value of x = -1